What is the 536th prime number?
The 536th prime number is 3863. The next prime is 3877 (a gap of 14) and the one before is 3853.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 536th one is 3863.
- 2
3863 is prime because no prime up to ā3863 ā 62.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 536th prime is close to 536 Ć ln(536) ā 3368, and here it is 3863.
- 4
3863 has no twin: neither 3861 nor 3865 is prime.
Primes around the 536th
| Position | Prime | Gap from the previous |
|---|---|---|
| 533 | 3847 | 14 |
| 534 | 3851 | 4 |
| 535 | 3853 | 2 |
| 536 | 3863 | 10 |
| 537 | 3877 | 14 |
| 538 | 3881 | 4 |
| 539 | 3889 | 8 |
Questions
What is the 536th prime number?
3863.
Which prime number is 3863?
3863 is the 536th prime number.
What is the sum of the first 536 primes?
958,577.